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Finding the Fourth Proportional to 5,731.94, 8,605.88 and 2,960.66

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Solution

The fourth proportional to 5,731.94, 8,605.88 and 2,960.66 is: 4,445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.94 : 8,605.88 = 2,960.66 : x
  2. Step 2: Convert to fraction form
    5,731.94/8,605.88 = 2,960.66/x
  3. Step 3: Cross multiply
    5,731.94x = 8,605.88 × 2,960.66
  4. Step 4: Simplify right side
    5,731.94x = 25,479,084.68
  5. Step 5: Solve for x
    x = 25,479,084.68/5,731.94
  6. Step 6: Final answer
    x = 4,445.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.